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Yusuf tried to solve an equation step by step.

{:[(1)/(4)r+2,=10,],[(1)/(4)r,=12quad" Step 1 "],[r,=48quad,],[," Step 2 "]:}
Find Yusuf's mistake.
Choose 1 answer:
(A) Step 1
(B) Step 2
(c) Yusuf did not make a mistake.

Yusuf tried to solve an equation step by step. $\newline$ $\begin{array}{rlr} \frac{1}{4} r+2 & =10 & \\ \frac{1}{4} r & =12 \quad \text { Step 1 } \\ r & =48 \quad & \\ & \text { Step 2 } \end{array}$ $\newline$ Find Yusuf's mistake. $\newline$ Choose $1$ answer: $\newline$ (A) Step $1$ $\newline$ (B) Step $2$ $\newline$ (c) Yusuf did not make a mistake.

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One-step inequalities: word problems

Full solution

Q. Yusuf tried to solve an equation step by step.

\newline

\begin{array}{rlr} \frac{1}{4} r+2 & =10 & \\ \frac{1}{4} r & =12 \quad \text { Step 1 } \\ r & =48 \quad & \\ & \text { Step 2 } \end{array}

\newline

Find Yusuf's mistake.

\newline

Choose

1

answer:

\newline

(A) Step

1

\newline

(B) Step

2

\newline

(c) Yusuf did not make a mistake.

Start with equation: Yusuf started with the equation $(\frac{1}{4})r + 2 = 10$ . $\newline$ To isolate $r$ , he subtracted $2$ from both sides. $\newline$ $(\frac{1}{4})r + 2 - 2 = 10 - 2$ $\newline$ $(\frac{1}{4})r = 8$
Isolate r: Next, Yusuf multiplied both sides by $4$ to solve for $r$ . $\newline$ $4 \times \left(\frac{1}{4}\right)r = 4 \times 8$ $\newline$ $r = 32$ $\newline$ But Yusuf wrote $r = 48$ .

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